Pseudospin and nuclear deformation
An operator which effects the transformation to the pseudospin representation within the oscillator shell model at arbitrary triaxial deformation is constructed as a special projection of the momentum helicity operator. Since the exact transformation of many important operators cannot be performed in a closed analytical form, a procedure of approximate transformation is developed. In the spherical and asymptotic prolate limits the transforms thus derived reduce to the known exact results. The approximate transform of a modified Nilsson Hamiltonian is found to be almost indistinguishable from the "pseudo" Hamiltonian with the strongly reduced spin-orbit strength.
Publication Source (Journal or Book title)
Nuclear Physics A
Blokhin, A., Beuschel, T., Draayer, J., & Bahri, C. (1997). Pseudospin and nuclear deformation. Nuclear Physics A, 612 (2), 163-203. https://doi.org/10.1016/S0375-9474(97)80004-8